Use the passage and your study of the chapter covering the Vikings to answer the question. V_longship-not used yet.jpg . What allowed the Vikings to attack across such a broad area of Europe and beyond?

In the chapter video, the discovery of the Spirit Caveman

How did the threat of the Seljuk Turks contribute to the pope’s call for the First Crusade?

Using the map and your studies, deduce what historical cause and effect relationship is best depicted here. SpreadofBlackDeath.jpg

After almost a thousands years, the Roman empire began collapsing during the fourth/fifth centuries CE, but despite its collapse it left all the following to future civilizations except

According to the chapter quiz, _______ stormed into North Africa and set up a kingdom centered on Carthage from which one day they attacked/sacked Rome.

“. . . For many in the contemporary Arab world, the Crusades are viewed as having begun nearly a millennium of conflict with what would become the West. The Crusades are seen as representing the constant threat of Western encroachment [trespassing]. But many scholars say that is a more recent and inaccurate view of the Crusades. . . .”— Mike Shuster, reporter, NPRThis statement most accurately indicates which of the following?

Match carbon dioxide (CO2), carbon disulfide (CS2), and carbon diselenide (CSe2) with their correct boiling points, based on their intermolecular forces.

Use the diagram below to answer the following questions: Which transition would correspond to freezing (fusion) [phase1]? Which transition would correspond to condensation [phase2]? At which point are the solid and liquid phases present in equilibrium [phase3]?

Problem 1. (15 pts) Consider the signal $$x[n] = 2 \left( \frac{1}{4} \right)^{-\frac{n}{4}} e^{j (3\pi n – 2)} u[-n].$$ Find the total energy of \(x[n]\). Problem 2. (15 pts) Consider the signal$$x(t) =  \cos \left(3 t \right) – \sin \left(2t + \frac{\pi}{4} \right) .$$ (a) Is \(x(t)\) periodic? If so, what is its fundamental period? (b) Repeat (a) for the discrete-time version of the signal, i.e.,$$x[n] =  \cos \left(3 n \right) – \sin \Big(2n + \frac{\pi}{4} \Big).$$ Problem 3. (10 pts) Consider the following signal $$x[n] = \sin\left({\pi n – \frac{\pi}{4}}\right)$$ Is \(x[n]\) even, odd, both, or neither? Explain in 1-2 sentences. Problem 4. (15 pts) A system is described by the input-output relationship$$y(t) = x(2^{-t}).$$ (a) Is the system causal? Explain in 1-2 sentences.  (b) Is the system stable? Justify your answer. Problem 5. (15 pts) A system is described by the input-output relationship$$y[n] = \left( x[n] – x[n – 1] \right) u[n].$$ (a) Is the system linear? Justify your answer. (b) Is the system time-invariant? Justify your answer. Problem 6. (10 pts) A discrete-time LTI system has an impulse response$$h[n] = u[n – 5] – 1.5 u[n – 10] + 2 \delta[n + 5].$$ Is the system causal? Justify your answer. Problem 7. (20 pts) A continuous-time LTI system has an impulse response \(h(t) = e^{-3t} u(t)\).  We input a signal \(x(t) = u(t + 1) – u(t – 2)\) to this system.  Use convolution to determine the output \(y(t)\), and provide a rough sketch of the output. Congratulations, you are almost done with Midterm Exam 1.  DO NOT end the Honorlock session until you have submitted your work to Gradescope.  When you have answered all questions:  Use your smartphone to scan your answer sheets and notes pages and save the scan as a PDF. Make sure your scan is clear and legible.  Submit your PDF to Gradescope as follows: Email your PDF to yourself or save it to the cloud (Google Drive, etc.).  Click this link to go to Gradescope to submit your work: Midterm Exam 1 Return to this window and click the button below to agree to the honor statement. Click Submit Quiz to end the exam.  End the Honorlock session.